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Finding the Third Proportional to 117,032 and 252,460

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Solution

The third proportional to 117,032 and 252,460 is: 544,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,032 : 252,460 = 252,460 : x
  2. Step 2: Convert to fraction form
    117,032/252,460 = 252,460/x
  3. Step 3: Cross multiply
    117,032x = 252,460 × 252,460
  4. Step 4: Simplify right side
    117,032x = 63,736,051,600
  5. Step 5: Solve for x
    x = 63,736,051,600/117,032
  6. Step 6: Final answer
    x = 544,603.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.